3(2x-2)-4(1x-3)=28

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Solution for 3(2x-2)-4(1x-3)=28 equation:


Simplifying
3(2x + -2) + -4(1x + -3) = 28

Reorder the terms:
3(-2 + 2x) + -4(1x + -3) = 28
(-2 * 3 + 2x * 3) + -4(1x + -3) = 28
(-6 + 6x) + -4(1x + -3) = 28

Reorder the terms:
-6 + 6x + -4(-3 + 1x) = 28
-6 + 6x + (-3 * -4 + 1x * -4) = 28
-6 + 6x + (12 + -4x) = 28

Reorder the terms:
-6 + 12 + 6x + -4x = 28

Combine like terms: -6 + 12 = 6
6 + 6x + -4x = 28

Combine like terms: 6x + -4x = 2x
6 + 2x = 28

Solving
6 + 2x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 2x = 28 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 28 + -6
2x = 28 + -6

Combine like terms: 28 + -6 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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